{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:VS3LB7XLNAJYFQUCPYNYSEVGRX","short_pith_number":"pith:VS3LB7XL","schema_version":"1.0","canonical_sha256":"acb6b0feeb681382c2827e1b8912a68deb683eabf519e9b933f343ce1dd03f41","source":{"kind":"arxiv","id":"2003.11771","version":1},"attestation_state":"computed","paper":{"title":"Moderate deviation theorem for the Neyman-Pearson statistic in testing uniformity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Tadeusz Inglot","submitted_at":"2020-03-26T07:23:11Z","abstract_excerpt":"We show that for local alternatives to uniformity which are determined by a sequence of square integrable densities the moderate deviation (MD) theorem for the corresponding Neyman-Pearson statistic does not hold in the full range for all unbounded densities. We give a sufficient condition under which MD theorem holds. The proof is based on Mogulskii's inequality."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2003.11771","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.ST","submitted_at":"2020-03-26T07:23:11Z","cross_cats_sorted":["stat.TH"],"title_canon_sha256":"4c321d4b9ee8de399ff610b06e345d5a80d26ecbb3685ed90a8b8be7abb726bf","abstract_canon_sha256":"de5ac7d0d4a2859d13a752e767cd6bf4d9c85cb98c6d4644415f817625554de0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:50:47.281526Z","signature_b64":"FXjiruuccCxkICRSsn0ulX6PLMFRqprN9sStdwp5EyDqzzlskBkNCG+fqsNls7zOX6oTuATA8ZqY7eAzuY9gDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"acb6b0feeb681382c2827e1b8912a68deb683eabf519e9b933f343ce1dd03f41","last_reissued_at":"2026-07-05T00:50:47.281034Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:50:47.281034Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Moderate deviation theorem for the Neyman-Pearson statistic in testing uniformity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["stat.TH"],"primary_cat":"math.ST","authors_text":"Tadeusz Inglot","submitted_at":"2020-03-26T07:23:11Z","abstract_excerpt":"We show that for local alternatives to uniformity which are determined by a sequence of square integrable densities the moderate deviation (MD) theorem for the corresponding Neyman-Pearson statistic does not hold in the full range for all unbounded densities. We give a sufficient condition under which MD theorem holds. The proof is based on Mogulskii's inequality."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.11771","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2003.11771/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2003.11771","created_at":"2026-07-05T00:50:47.281090+00:00"},{"alias_kind":"arxiv_version","alias_value":"2003.11771v1","created_at":"2026-07-05T00:50:47.281090+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.11771","created_at":"2026-07-05T00:50:47.281090+00:00"},{"alias_kind":"pith_short_12","alias_value":"VS3LB7XLNAJY","created_at":"2026-07-05T00:50:47.281090+00:00"},{"alias_kind":"pith_short_16","alias_value":"VS3LB7XLNAJYFQUC","created_at":"2026-07-05T00:50:47.281090+00:00"},{"alias_kind":"pith_short_8","alias_value":"VS3LB7XL","created_at":"2026-07-05T00:50:47.281090+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.10710","citing_title":"Robust Multi-Manifold Clustering via Simplex Paths","ref_index":4,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VS3LB7XLNAJYFQUCPYNYSEVGRX","json":"https://pith.science/pith/VS3LB7XLNAJYFQUCPYNYSEVGRX.json","graph_json":"https://pith.science/api/pith-number/VS3LB7XLNAJYFQUCPYNYSEVGRX/graph.json","events_json":"https://pith.science/api/pith-number/VS3LB7XLNAJYFQUCPYNYSEVGRX/events.json","paper":"https://pith.science/paper/VS3LB7XL"},"agent_actions":{"view_html":"https://pith.science/pith/VS3LB7XLNAJYFQUCPYNYSEVGRX","download_json":"https://pith.science/pith/VS3LB7XLNAJYFQUCPYNYSEVGRX.json","view_paper":"https://pith.science/paper/VS3LB7XL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2003.11771&json=true","fetch_graph":"https://pith.science/api/pith-number/VS3LB7XLNAJYFQUCPYNYSEVGRX/graph.json","fetch_events":"https://pith.science/api/pith-number/VS3LB7XLNAJYFQUCPYNYSEVGRX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VS3LB7XLNAJYFQUCPYNYSEVGRX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VS3LB7XLNAJYFQUCPYNYSEVGRX/action/storage_attestation","attest_author":"https://pith.science/pith/VS3LB7XLNAJYFQUCPYNYSEVGRX/action/author_attestation","sign_citation":"https://pith.science/pith/VS3LB7XLNAJYFQUCPYNYSEVGRX/action/citation_signature","submit_replication":"https://pith.science/pith/VS3LB7XLNAJYFQUCPYNYSEVGRX/action/replication_record"}},"created_at":"2026-07-05T00:50:47.281090+00:00","updated_at":"2026-07-05T00:50:47.281090+00:00"}